Home
Class 11
PHYSICS
A small block of mass 1 kg is a circula...

A small block of mass `1` kg is a circular are of ratius `40` m . The block sides along the track without topping and a frictionnal force acts on it in the direction opposite in the instrmens velocity . The work done in evercoming the friction up to the point `Q` as shown is the figure below is `150 J`
(Take the acceleration due to gravity `g = 10 ms^(-2))`

The speed of the block when it reaches the point `Q` is

A

(a) `5ms^-1`

B

(b) `10ms^-1`

C

(c) `10sqrt3ms^-1`

D

(d) `20ms^-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Using work energy theorem
`mg R sin 30^@+W_f=1/2mv^2`
`200-150=v^2/2v=10ms^-1`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives (integer)|4 Videos

  • WORK, POWER & ENERGY

    CENGAGE PHYSICS|Exercise Archives (assertion-reasoning)|1 Videos

  • VECTORS

    CENGAGE PHYSICS|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

The frictional force acting on 1 kg block is

The acceleration of the 10 kg mass block shown in the figure is : -

Knowledge Check

  • A small block of mass 1 kg is a circular are of ratius 40 m . The block sides along the track without topping and a frictionnal force acts on it in the direction opposite in the instrmens velocity . The work done in evercoming the friction up to the point Q as shown is the figure below is 150 J (Take the acceleration due to gravity g = 10 ms^(-2)) The magnitude of the normal reaction that acts on the block at the point Q is

    A
    ` 7.5 N`
    B
    `8.6 N`
    C
    11.5 N`
    D
    `22.5 N`

  • As shown in the figure , the friction force acting on the block is

    A
    `50 N`
    B
    `30 N`
    C
    `20 N`
    D
    None

  • If the mass of block is 1 kg and a force of 10 / sqrt3 N is applied horizontally on the block as shown in the figure . The frictional force acting on the block is :

    A
    zero
    B
    `(10)/(sqrt3)`N
    C
    `(20)/(sqrt3) N`
    D
    5 N

    • Similar Questions

    Explore conceptually related problems

    A block of mass 6 kg is kept on rough surface as shown in figure. Find acceleration and friction force acting on the block. (Take g=10m//s^(2) )

    A small block of mass 1 kg is kept on a rough inclined wedge of inclination 45^@ fixed in an elevator. The elevator goes up with a uniform velocity v=2 m//s and the block done not slide on the wedge. Find the work done by the of friction on the block in 1s . (g=10 m//s^(2))

    A small cube of mass m slides down a circular path of radius R cut into a large block of mass M. M rests on a table and both blocks move without friction. The blocks initially are at rest and m starts from the top of the path. Find the velocity v of the cube as it leaves the block.

    In the figure shown, block of mass 2 kg is very long. Force of friction on 1 kg block is

    A block of mass 2kg slipped up a slant plane requires 300J of work. If height of slant is 10m the work done against friction is :

    Home
    Profile